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Finding the Fourth Proportional to 11,570, 15,979.64 and 7,837.52

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Solution

The fourth proportional to 11,570, 15,979.64 and 7,837.52 is: 10,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570 : 15,979.64 = 7,837.52 : x
  2. Step 2: Convert to fraction form
    11,570/15,979.64 = 7,837.52/x
  3. Step 3: Cross multiply
    11,570x = 15,979.64 × 7,837.52
  4. Step 4: Simplify right side
    11,570x = 125,240,748.09
  5. Step 5: Solve for x
    x = 125,240,748.09/11,570
  6. Step 6: Final answer
    x = 10,824.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.